This would produce a geometric sequence of the form:
g=3(2.2)^(n-1)
The sum of which is:
g=3(1-2.2^n)/(1-2.2) cleaning up a bit...
g=-3.6(1-2.2^n)
g(15)=-3.6(1-2.2^15)
g(15)=492764.6, since the number of geese must be an integer...
g(15)=492764
A) Diagram
Below is a sketch of the recctangular lawn (the inside rectangle) and the gravel border.
6 ft + 150 yards + 6 ft
-------------------------------
| |
| --------------------- |
| | | |
| | | | 6 ft + 80 yard + 6 ft
| | | |
| --------------------- |
| |
|------------------------------|
B) How many square feet of the gravel will surround the lawn?
Conversion: 1 yard = 3 feet
=> 80 yard = 80*3 feet = 240 feet
=> 150 yard = 150 * 3 feet = 450 feet
Area of the external rectangle = (6 ft + 240 ft + 6 ft) (6 ft + 450 ft + 6 ft) = 252 ft * 462 ft = 116,424 ft^2
Area of the internal rectangle = 240 ft * 450 ft = 108,000 ft^2
Area of the gravel border = 116,424 ft^2 - 108,000 ft^2 = 8424 ft^2
answer: 8424 ft^2
C) volume
volume = area of the base * depth
2 inches = 2/12 ft = 1/6 ft
=> volume = 8424 ft^2 * 1/6 ft = 1404 ft^3
answer: 1404 ft^3
C) cost
1 yard^3 = $ 30
1yard ^3 = (3 feet)^3 = 27 ft^3
=> cost = $ 30 / 27 ft^3
=> 1404 ft^3 * $30 / 27 ft^3 = $ 1560
answer: $ 1560
I think the answer is the first one, because it needs to be negative. <span />
Answer:
D
Step-by-step explanation:
First we need to find out how many miles we can travel using 1 gallon of gasoline. We can easily find that by dividing 78/13 which equals 6. Now we just need to multiply all of the given answers by 6. To be reasonable, since we already know 13*6=78, we should look at the next smallest number and go up from there.
The next smallest number given is 25. 25*6=150.
Hope this helps!! <3 :)
Y<3x+1 but there is a line under the less than sign
